Hybrid algorithm for inverse DC/AC resistivity logging measurement simulations

We present a hybrid algorithm for solving inverse 3D resistivity logging measurement simulation problem with DC and AC tools in deviated wells. The term “simulation of measurements” is widely used by the geophysical community. A quantity of interest, voltage, is measured at a receiver electrode located in the logging instrument. Computer simulations are used to explain obtained measurements. We solve the inverse problem with goal-oriented hp adaptive finite element method interfaced with Hierarchic Genetic Strategy (HGS) algorithm during a global phase and Conjugated Gradient (CG) algorithm in a local phase. The global search HGS algorithm generates starting points for local search CG algorithm. We conclude the presentation with numerical experiments for DC/AC problems.